Search a number
-
+
12226500 = 223253111319
BaseRepresentation
bin101110101000…
…111111000100
3212000011121100
4232220333010
511112222000
61114020100
7205631526
oct56507704
925004540
1012226500
1169a0a50
124117630
1326c1120
1418a3a16
151117a00
hexba8fc4

12226500 has 288 divisors, whose sum is σ = 47698560. Its totient is φ = 2592000.

The previous prime is 12226499. The next prime is 12226507. The reversal of 12226500 is 562221.

12226500 is a `hidden beast` number, since 12 + 2 + 2 + 650 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12226507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643491 + ... + 643509.

It is an arithmetic number, because the mean of its divisors is an integer number (165620).

Almost surely, 212226500 is an apocalyptic number.

12226500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849280).

12226500 is an abundant number, since it is smaller than the sum of its proper divisors (35472060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12226500 is a wasteful number, since it uses less digits than its factorization.

12226500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12226500 is about 3496.6412455384. The cubic root of 12226500 is about 230.3743117338.

Adding to 12226500 its reverse (562221), we get a palindrome (12788721).

The spelling of 12226500 in words is "twelve million, two hundred twenty-six thousand, five hundred".